137533638 has 32 divisors (see below), whose sum is σ = 317727360. Its totient is φ = 39224960.

The previous prime is 137533637. The next prime is 137533657. The reversal of 137533638 is 836335731.

It is a junction number, because it is equal to n+sod(n) for n = 137533596 and 137533605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137533637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60168 + ... + 62411.

It is an arithmetic number, because the mean of its divisors is an integer number (9928980).

Almost surely, 2^137533638 is an apocalyptic number.

137533638 is an abundant number, since it is smaller than the sum of its proper divisors (180193722).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137533638 is a wasteful number, since it uses less digits than its factorization.

137533638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122612.

The product of its digits is 136080, while the sum is 39.

The square root of 137533638 is about 11727.4736409851. The cubic root of 137533638 is about 516.1821437976.

It can be divided in two parts, 13753 and 3638, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 137533638 in words is "one hundred thirty-seven million, five hundred thirty-three thousand, six hundred thirty-eight".